New Partially Disordered Phases with Commensurate Spin Density Wave in Frustrated Triangular Lattice

Takagi, Toshimi; Mekata, Mamoru

doi:10.1143/jpsj.64.4609

Cited by 77 publications

(80 citation statements)

References 34 publications

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“…24 -26 It was argued that the transition to ferrimagnetism might be prevented by the establishment of a glassy phase at low temperatures. 27 In Ca 3 Co 2 O 6 , this latter phase could be the frozen spin state which was found in magnetization studies. 4 -6 Our specific heat measurements show that the transition to the frozen spin state (T FS Ӎ7 K) is associated with a noticeable change of regime in a C/T-vs-T 2 plot ͑see inset of Fig.…”

Section: A Ordering Process Under Low Fieldmentioning

confidence: 69%

Specific heat and magnetization study on single crystals of the frustrated quasi-one-dimensional oxideCa3Co2
Hardy
¹
,
Lambert
²
,
Lees
³

et al. 2003
Phys. Rev. B

129

106

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Specific heat and magnetization measurements have been carried out under a range of magnetic fields on single crystals of Ca 3 Co 2 O 6 . This compound is composed of Ising magnetic chains that are arranged on a triangular lattice. The intrachain and interchain couplings are ferromagnetic and antiferromagnetic, respectively. This situation gives rise to geometrical frustration, that bears some similarity to the classical problem of a two-dimensional Ising triangular antiferromagnet. This paper reports on the ordering process at low T and the possibility of one-dimensional features at high T.

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Section: A Ordering Process Under Low Fieldmentioning

confidence: 69%

Specific heat and magnetization study on single crystals of the frustrated quasi-one-dimensional oxideCa3Co2
Hardy
¹
,
Lambert
²
,
Lees
³

et al. 2003
Phys. Rev. B

129

106

View full text Add to dashboard Cite

show abstract

“…24,25,26,27. In particular, Glosli and Plischke [24] have studied the system with first and second neighbor interactions satisfying J 2 /J 1 = 0.1, Rastelli et al [26] -with J 2 /J 1 = 0.1, 0.5, 1, whereas Novikov et al [25] have assumed that the interaction decays with the distance exponentially.…”

Section: Discussionmentioning

confidence: 99%

“…The results of these groups give evidence for the existence of a single first-order transition, which is consistent with our conclusions. In the simulations of Takagi and Mekata [27] the disordering of the striped phase has been investigated in the system with J 2 /J 1 = 0.2 or 0.5 and J 3 /J 1 = −0.75, but these authors make no conclusions about the type of the single phase transition which they observe.…”

Section: Discussionmentioning

confidence: 99%

Nature of phase transitions in the striped phase of a triangular-lattice Ising antiferromagnet

Korshunov

2005

Phys. Rev. B

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Different scenarios of the fluctuation-induced disordering of the striped phase which is formed at low temperatures in the triangular-lattice Ising model with the antiferromagnetic interaction of nearest and next-to-nearest neighbors are analyzed and compared. The dominant mechanism of the disordering is related to the formation of a network of domain walls, which is characterized by an extensive number of zero modes and has to appear via the first-order phase transition. In principle, this first-order transition can be preceded by a continuous one, related to the spontaneous formation of double domain walls and a partial restoration of the broken symmetry, but the realization of such a scenario requires the fulfillment of rather special relations between the coupling constants.

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“…We note that Monte Carlo simulations of the J 1 -J 2 model have previously been carried out in Ref. [41][42][43], but these studies were not able to access the regime J 1 J 2 due to the use of local updates. The phase diagram is shown in Fig.…”

Section: Appendix C: Triangular Lattice Ising Antiferromagnet With J2mentioning

confidence: 99%

Topological Aspects of Symmetry Breaking in Triangular-Lattice Ising Antiferromagnets

2016

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Using a specially designed Monte Carlo algorithm with directed loops, we investigate the triangular lattice Ising antiferromagnet with coupling beyond nearest neighbour. We show that the first-order transition from the stripe state to the paramagnet can be split, giving rise to an intermediate nematic phase in which algebraic correlations coexist with a broken symmetry. Furthermore, we demonstrate the emergence of several properties of a more topological nature such as fractional edge excitations in the stripe state, the proliferation of double domain walls in the nematic phase, and the Kasteleyn transition between them. Experimental implications are briefly discussed.The triangular-lattice Ising antiferromagnet (TLIAF) is the archetypal model of frustration. Ground states of the nearest-neighbour (n.n.) model obey the local constraint that triangles cannot host three equivalent Ising spins, and it follows that there is an extensive entropy 1,2 . This results in a critical state, characterised by algebraic correlations between the spins 3,4 .In reality, interactions are rarely limited to n.n., and a more realistic Hamiltonian takes the form,where σ i = ±1 and J ij > 0. This model is experimentally relevant in a diverse range of systems, including artificial dipolar magnets 5 , materials such as Ba 3 CuSb 2 O 9 where electrically charged dumbbells act as Ising degrees of freedom 6,7 , trapped ions 8,9 , frustrated Coulomb liquids 10 , Josephson junction arrays 11 and absorbed monolayers 12 .In spite of its ubiquity, this model has received limited attention. The difficulty in analysing H Is [Eq. 1] arises from the critical nature of the n.n. ground-state manifold, which is very sensitive to perturbation, and in the presence of further-neighbour coupling the model is not amenable to an analytic solution. Besides, in the limit J 1 → ∞ as compared to the other characteristic energy scales of the problem (J 2 , J 3 , etc.), Monte Carlo (MC) simulations based on the Metropolis algorithm are unable to reach the ground state, and the problem of freezing remains even when this constraint is relaxed, for example in the case of dipolar interactions 13 .The current understanding of the properties of H Is is based on estimates of the energy and entropy of different types of extended defects. This results in the prediction that the broken Z 2 ×Z 3 symmetry of the low-temperature stripe state 14,16,17 can be restored either in a single firstorder transition, or via a pair of transitions, where the low-temperature, Z 2 -restoring transition is second order and the higher-temperature, Z 3 -restoring transition is * deceased FIG. 1:Representative phase diagrams of the TLIAF with J 1 → ∞, determined by MC simulation. All phase boundaries were determined from the winding number. first order 14 . When the transition is split, an intermediate phase of nematic type is revealed, and it is characterised by a set of fluctuating double domain walls 14 (ddw).In this letter, we show that the difficulty in simulating the TLIAF with MC arises...

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New Partially Disordered Phases with Commensurate Spin Density Wave in Frustrated Triangular Lattice

Cited by 77 publications

References 34 publications

Specific heat and magnetization study on single crystals of the frustrated quasi-one-dimensional oxideCa3Co2
Hardy
¹
,
Lambert
²
,
Lees
³

et al. 2003
Phys. Rev. B

Specific heat and magnetization study on single crystals of the frustrated quasi-one-dimensional oxideCa3Co2
Hardy
¹
,
Lambert
²
,
Lees
³

et al. 2003
Phys. Rev. B

Nature of phase transitions in the striped phase of a triangular-lattice Ising antiferromagnet

Topological Aspects of Symmetry Breaking in Triangular-Lattice Ising Antiferromagnets

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New Partially Disordered Phases with Commensurate Spin Density Wave in Frustrated Triangular Lattice

Cited by 77 publications

References 34 publications

Specific heat and magnetization study on single crystals of the frustrated quasi-one-dimensional oxideCa3Co2Hardy1, Lambert2, Lees3 et al. 2003Phys. Rev. B

Specific heat and magnetization study on single crystals of the frustrated quasi-one-dimensional oxideCa3Co2Hardy1, Lambert2, Lees3 et al. 2003Phys. Rev. B

Nature of phase transitions in the striped phase of a triangular-lattice Ising antiferromagnet

Topological Aspects of Symmetry Breaking in Triangular-Lattice Ising Antiferromagnets

Contact Info

Product

Resources

About

Specific heat and magnetization study on single crystals of the frustrated quasi-one-dimensional oxideCa3Co2
Hardy
¹
,
Lambert
²
,
Lees
³

et al. 2003
Phys. Rev. B

Specific heat and magnetization study on single crystals of the frustrated quasi-one-dimensional oxideCa3Co2
Hardy
¹
,
Lambert
²
,
Lees
³

et al. 2003
Phys. Rev. B